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Alloy is made by mixing 540 g of copper of density 9 g cm-3 with 240 g of iron of density 8 g cm-3. Find the density of the alloy assuming that the volume of each metal does not change during mixing. - Physics

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Question

An alloy is made by mixing 540 g of copper of density 9 g cm-3 with 240 g of iron of density 8 g cm-3. Find the density of the alloy assuming that the volume of each metal does not change during mixing.
Answer in Brief

Solution

Mass of copper = 540 g
Density of copper = 9 g/cm3
Volume of copper used in the alloy = mass of copper / density
= 540/9 = 60 cm3
Mass of iron = 240 g
Density of iron = 8 g/cm3
Volume of iron used in the alloy = mass of iron / density
= 240/8 = 30 cm3
Total mass of the alloy = 540 + 240 = 780 g
Total volume of the alloy = 60 + 30 = 90
Density of the alloy = mass of the alloy / density of the alloy = 780 / 90 = 8.67 g/cm3

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Chapter 1: Measurement - Exercise 5 [Page 48]

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Frank Physics [English] Class 9 ICSE
Chapter 1 Measurement
Exercise 5 | Q 54 | Page 48
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